Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation
Computational Physics
2025-07-25 v1 Numerical Analysis
Numerical Analysis
Optics
Abstract
We present a framework for the efficient and accurate computation of resonance modes in photonic waveguides. The framework is based on AAA rational approximation with the application of special light sources. It allows one to calculate only relevant modes, such as the fundamental resonance modes localized in the central core of the waveguides. We demonstrate the framework using an example from the literature, a hollow-core photonic crystal fiber. This waveguide supports many other modes, such as cladding modes and higher-order modes. These nonrelevant modes are not calculated, so that challenging post-processing with mode filtering is not required.
Keywords
Cite
@article{arxiv.2412.13826,
title = {Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation},
author = {Felix Binkowski and Fridtjof Betz and Martin Hammerschmidt and Lin Zschiedrich and Sven Burger},
journal= {arXiv preprint arXiv:2412.13826},
year = {2025}
}